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\(S\)-convexity: the variable radius case [PDF]
, 2022 The equivalence of three regularity properties of a set: \(\varphi_0\)-convexity, \(\theta_0\)-exterior sphere condition, \(\psi_0\)-union of closed balls under suitable conditions where the functions \(\varphi_0, \theta_0\) and \(\psi_0\) are constant is well-known (see, e.g., [\textit{C. Nour} et al., J. Convex Anal. 16, No.
Nour, Chadi, Takche, Jean
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S-Convexity and Gross Substitutability
Operations Research, 2020A New Concept to Study Substitute Structures in Economics and Operations Models In “S-Convexity and Gross Substitutability,” Chen and Li propose a novel concept of S-convex functions defined on continuous spaces, which extends a key concept of M-natural-convex functions in discrete convex analysis.
Xin Chen 0026, Menglong Li
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On Some Operator Inequalities with Respect to the s-Convexity
Acta Mathematica Vietnamica, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lahcen Tarik +3 more
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On S-Convexity and Risk Aversion
Theory and Decision, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DENUIT M., LEFEVRE C., SCARSINI, MARCO
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Advances in Applied Probability, 2000
Let ℬs([a,b];μ1,μ2,…,μs-1) be the class of all distribution functions of random variables with support in [a,b] having μ1,μ2,…,μs-1 as their first s-1 moments. In this paper we examine some aspects of the structure of ℬs([a,b];μ1,μ2,…,μs-1) and of the s-convex stochastic extrema in it. Using representation results of moment matrices à la Lindsay (1989a)
Denuit, Michel +2 more
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Let ℬs([a,b];μ1,μ2,…,μs-1) be the class of all distribution functions of random variables with support in [a,b] having μ1,μ2,…,μs-1 as their first s-1 moments. In this paper we examine some aspects of the structure of ℬs([a,b];μ1,μ2,…,μs-1) and of the s-convex stochastic extrema in it. Using representation results of moment matrices à la Lindsay (1989a)
Denuit, Michel +2 more
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An Operator Version of the Jensen Inequality for s-Convex Functions
Complex Analysis and Operator Theory, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail Nikoufar, Davuod Saeedi
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On s-convex stochastic extrema for arithmetic risks
Insurance: Mathematics and Economics, 1999The authors deal with a class of discrete stochastic orderings in the space of random variables. In particular, they follow (their as well as the others authors) former results on this topic. A brief survey of the former results is given in the introduction.
Denuit, Michel +2 more
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